http://orcid.org/0000-0002-4153-715X
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Abstract
We prove two conjectures on sums of products of Catalan triangle numbers, which were originally conjectured by Miana et al. [Discrete Math. 340 (2017), 2388–2397]. The first one is proved by using Zeilberger's algorithm, and the second one is proved by establishing its q-analogue.
Acknowledgements
The authors thank the anonymous referee for a careful reading of this paper.
Disclosure statement
No potential conflict of interest was reported by the authors.
ORCID
Victor J. W. Guo http://orcid.org/0000-0002-4153-715X
Additional information
Funding
The first author was partially supported by the National Natural Science Foundation of China (grant 11771175), the Natural Science Foundation of Jiangsu Province (grant BK20161304), and the Qing Lan Project of Education Committee of Jiangsu Province.